18x^4-61x^2y+40y^2=

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Solution for 18x^4-61x^2y+40y^2= equation: 


Simplifying
18x4 + -61x2y + 40y2 = 0

Reorder the terms:
-61x2y + 18x4 + 40y2 = 0

Solving
-61x2y + 18x4 + 40y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x2 + -5y)(9x2 + -8y) = 0


Subproblem 1
Set the factor '(2x2 + -5y)' equal to zero and attempt to solve:

Simplifying
2x2 + -5y = 0

Solving
2x2 + -5y = 0

Move all terms containing x to the left, all other terms to the right.

Add '5y' to each side of the equation.
2x2 + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2x2 + 0 = 0 + 5y
2x2 = 0 + 5y
Remove the zero:
2x2 = 5y

Divide each side by '2'.
x2 = 2.5y

Simplifying
x2 = 2.5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9x2 + -8y)' equal to zero and attempt to solve:

Simplifying
9x2 + -8y = 0

Solving
9x2 + -8y = 0

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.
9x2 + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
9x2 + 0 = 0 + 8y
9x2 = 0 + 8y
Remove the zero:
9x2 = 8y

Divide each side by '9'.
x2 = 0.8888888889y

Simplifying
x2 = 0.8888888889y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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